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Finding the Third Proportional to 29,857,989,904 and 64,146,986,136

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Solution

The third proportional to 29,857,989,904 and 64,146,986,136 is: 137,813,558,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857,989,904 : 64,146,986,136 = 64,146,986,136 : x
  2. Step 2: Convert to fraction form
    29,857,989,904/64,146,986,136 = 64,146,986,136/x
  3. Step 3: Cross multiply
    29,857,989,904x = 64,146,986,136 × 64,146,986,136
  4. Step 4: Simplify right side
    29,857,989,904x = 4,114,835,830,332,176,465,920
  5. Step 5: Solve for x
    x = 4,114,835,830,332,176,465,920/29,857,989,904
  6. Step 6: Final answer
    x = 137,813,558,232.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.